25206501505249 has 2 divisors, whose sum is σ = 25206501505250. Its totient is φ = 25206501505248.

The previous prime is 25206501505217. The next prime is 25206501505267. The reversal of 25206501505249 is 94250510560252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14100325401600 + 11106176103649 = 3755040^2 + 3332593^2 .

It is a cyclic number.

It is not a de Polignac number, because 25206501505249 - 2⁵ = 25206501505217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25206501505199 and 25206501505208.

It is not a weakly prime, because it can be changed into another prime (25206501575249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12603250752624 + 12603250752625.

It is an arithmetic number, because the mean of its divisors is an integer number (12603250752625).

Almost surely, 2^{25206501505249} is an apocalyptic number.

It is an amenable number.

25206501505249 is a deficient number, since it is larger than the sum of its proper divisors (1).

25206501505249 is an equidigital number, since it uses as much as digits as its factorization.

25206501505249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080000, while the sum is 46.

The spelling of 25206501505249 in words is "twenty-five trillion, two hundred six billion, five hundred one million, five hundred five thousand, two hundred forty-nine".